This phrase is used metaphorically and does not involve physical violence but intense disagreement or conflict. Whenever politics is discussed, my friends are at each other's throats.
Pro Tip 2/3
Negative Emotion
This idiom expresses a strong and hostile negativity between people; it suggests extreme antagonism. The two politicians were at each other's throats during the debate.
Pro Tip 3/3
Colloquial Expression
It's a casual expression and may not be suitable for formal or professional contexts. I wouldn't say those two colleagues are at each other's throats in front of our boss.